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Hydraulic resistance of submerged rigid vegetation derived from first-order closure models

Publication ,  Journal Article
Poggi, D; Krug, C; Katul, GG
Published in: Water Resources Research
October 1, 2009

The past decade witnessed rapid developments in remote sensing methods that now permit an unprecedented description of the spatial variations in water levels (Hw), canopy height (hc), and leaf area density distribution (a) at large spatial scales. These developments are now renewing interest in effective resistance formulations for water flow within and above vegetated surfaces so that they can be incorporated into simplified water routing models driven by such remote sensing products. The first generation of such water routing models linked the bulk velocity to gradients in Hw via a constant diffusion velocity that cannot be inferred from canopy properties (a and hc). The next generation of such hydrologic models must preserve the nonlinear relationship between the resistance value, canopy attributes (e.g., a and hc), and Hw without compromising model simplicity. Using a simplified scaling analysis on the depth-integrated mean momentum balance and a two-layer model for the bulk velocity, the Darcy-Weisbach friction factor (f) was shown to vary with three canonical length scales that can be either measured or possibly inferred from remote sensing products Hw, hc, and the adjustment length scale L c = (Cd a)-1, where Cd is the drag coefficient (of order unity). The scaling analysis proposed here reveals that these length scales can be combined in two dimensionless groups, H w/hcand Lc/hc. The dependence of f on these two functional groups was then explored using a combination of first-order closure modeling and 130 experimental runs derived from a large number of flume experiments carried out for rigid and flexible vegetation. The results from the data and the model show a nonlinear decrease in f with increasing Hw/hc at a given Lc/hc and the nonlinear increase in f with decreasing Lc/hc. Furthermore, both model and data results did not exhibit any dependence on the bulk Reynolds number. Copyright 2009 by the American Geophysical Union.

Duke Scholars

Published In

Water Resources Research

DOI

ISSN

0043-1397

Publication Date

October 1, 2009

Volume

45

Issue

10

Related Subject Headings

  • Environmental Engineering
  • 4011 Environmental engineering
  • 4005 Civil engineering
  • 3707 Hydrology
  • 0907 Environmental Engineering
  • 0905 Civil Engineering
  • 0406 Physical Geography and Environmental Geoscience
 

Citation

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MLA
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Poggi, D., Krug, C., & Katul, G. G. (2009). Hydraulic resistance of submerged rigid vegetation derived from first-order closure models. Water Resources Research, 45(10). https://doi.org/10.1029/2008WR007373
Poggi, D., C. Krug, and G. G. Katul. “Hydraulic resistance of submerged rigid vegetation derived from first-order closure models.” Water Resources Research 45, no. 10 (October 1, 2009). https://doi.org/10.1029/2008WR007373.
Poggi D, Krug C, Katul GG. Hydraulic resistance of submerged rigid vegetation derived from first-order closure models. Water Resources Research. 2009 Oct 1;45(10).
Poggi, D., et al. “Hydraulic resistance of submerged rigid vegetation derived from first-order closure models.” Water Resources Research, vol. 45, no. 10, Oct. 2009. Scopus, doi:10.1029/2008WR007373.
Poggi D, Krug C, Katul GG. Hydraulic resistance of submerged rigid vegetation derived from first-order closure models. Water Resources Research. 2009 Oct 1;45(10).
Journal cover image

Published In

Water Resources Research

DOI

ISSN

0043-1397

Publication Date

October 1, 2009

Volume

45

Issue

10

Related Subject Headings

  • Environmental Engineering
  • 4011 Environmental engineering
  • 4005 Civil engineering
  • 3707 Hydrology
  • 0907 Environmental Engineering
  • 0905 Civil Engineering
  • 0406 Physical Geography and Environmental Geoscience